Prediction of quantiles by statistical learning and application to GDP forecasting

Pierre Alquier, Xiaoyin Li

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

In this paper, we tackle the problem of prediction and confidence intervals for time series using a statistical learning approach and quantile loss functions. In a first time, we show that the Gibbs estimator is able to predict as well as the best predictor in a given family for a wide set of loss functions. In particular, using the quantile loss function of [1], this allows to build confidence intervals. We apply these results to the problem of prediction and confidence regions for the French Gross Domestic Product (GDP) growth, with promising results.

Original languageEnglish (US)
Title of host publicationDiscovery Science - 15th International Conference, DS 2012, Proceedings
Pages22-36
Number of pages15
DOIs
StatePublished - 2012
Externally publishedYes
Event15th International Conference on Discovery Science, DS 2012 - Lyon, France
Duration: Oct 29 2012Oct 31 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7569 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference15th International Conference on Discovery Science, DS 2012
Country/TerritoryFrance
CityLyon
Period10/29/1210/31/12

Keywords

  • GDP forecasting
  • PAC-Bayesian bounds
  • Statistical learning theory
  • business surveys
  • confidence intervals
  • oracle inequalities
  • quantile regression
  • time series
  • weak dependence

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